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Popular >

expand (x-2)(x+2)^2

Solution

expand

(x - 2) (x + 2)^{2}

Solution

x^{3} + 2 x^{2} - 4 x - 8

Solution steps

(x - 2) (x + 2)^{2}

= (x + 2)^{2} (x - 2)

Expand

(x + 2)^{2} : x^{2} + 4 x + 4

= (x^{2} + 4 x + 4) (x - 2)

Distribute parentheses

= x^{2} x + x^{2} (- 2) + 4 xx + 4 x (- 2) + 4 x + 4 (- 2)

Simplify

x^{2} x + x^{2} (- 2) + 4 xx + 4 x (- 2) + 4 x + 4 (- 2) : x^{3} + 2 x^{2} - 4 x - 8

= x^{3} + 2 x^{2} - 4 x - 8

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Frequently Asked Questions (FAQ)

What is expand (x-2)(x+2)^2 ?
The solution to expand (x-2)(x+2)^2 is x^3+2x^2-4x-8